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Simplifying 7 = 2w + 5(w + -7) Reorder the terms: 7 = 2w + 5(-7 + w) 7 = 2w + (-7 * 5 + w * 5) 7 = 2w + (-35 + 5w) Reorder the terms: 7 = -35 + 2w + 5w Combine like terms: 2w + 5w = 7w 7 = -35 + 7w Solving 7 = -35 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 7 + -7w = -35 + 7w + -7w Combine like terms: 7w + -7w = 0 7 + -7w = -35 + 0 7 + -7w = -35 Add '-7' to each side of the equation. 7 + -7 + -7w = -35 + -7 Combine like terms: 7 + -7 = 0 0 + -7w = -35 + -7 -7w = -35 + -7 Combine like terms: -35 + -7 = -42 -7w = -42 Divide each side by '-7'. w = 6 Simplifying w = 6
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